The following linear programming problem has been solved by EXCEL. Use the output to answer the following questions.

Max	4X1 + 5X2 + 6X3
s.t.	X1 + X2 + X3 85	(Production capacity)
	X1 + 4X2 + X3280	(Material A requirements)
	X1 + 4X2 + 4X3320	(Material B requirements)

Cell		Name	Final Value	Reduced Cost	Objective Coefficient	Allowable Increase	Allowable Decrease
$B$8		X1	0	1.5	4	1E + 30	1.5
$C$8		X2	80	0	5	1	5
$D$8		X3	0	1	6	1E + 30	1
Constraints
Cell		Name	Final Value	Shadow Price	Constraint R.H. Side	Allowable Increase	Allowable Decrease
$B$13		Production Capacity	80	0	85	1E+30	5
$B$14		Material A	320	0	280	40	1E+30
$B$15		Material B	320	1.25	320	20	40

1. What are the shadow prices for each resource? Interpret.

2. What are the reduced costs? Interpret them in this context.

3. Compute and interpret the ranges of optimality.

4. Compute and interpret the ranges of feasibility.

Please show the steps in solving the shadow prices and reduced costs.